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I calculated and am not sure where I made a error as the answer is incorrect, un

ID: 2298666 • Letter: I

Question

I calculated and am not sure where I made a error as the answer is incorrect, unless it is caused by the negative answer and maybe it should be positive, my work shows otherwise. Help.

(Just realized - are my limits backwards??? So used to the larger number on top and the question indicates B as 4.0 and A as 6.0)

A conducting sphere with radius 2.0mm has a uniform surface charge density of 0.040 C/m^2. What is the potential difference VB-VA between point B, 4.0 m from the center of the sphere and point A, 6.0 m from the center of the sphere?

I calculated as follows and used q=nA=(0.040)(4pi(0.002m)^2) (I wasn't able to edit my equation below but the following part should read -8.99*10^9 with a positive 9 exponent)

Please let me know where I went wrong. Thanks!

Explanation / Answer

Solution :

   = 9 x 10^9 Nm^2/c^2x A x sigma C x (1/4- 1/6)

   =1507.2

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